The relevance of reliability-based topology optimization in early design stages of aircraft structures

López, Carlos; Baldomir, Aitor; Hernández, Santiago

doi:10.1007/s00158-017-1740-2

Cited by 19 publications

(10 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…First works used the Solid Isotropic Material with Penalization (SIMP) approach for topology optimization of compliance and the performance measure approach for the probabilistic analysis [2,27]. Following works made use of the fact the RBTO problem can be decoupled into a deterministic optimization and subsequent probabilistic analysis, yielding a sequential approach [18,17,25]. Luo et al [26] followed a similar approach for probabilistic stress constraints.…”

Section: Introductionmentioning

confidence: 99%

Robust compliance topology optimization using the first-order second-moment method

Kriegesmann

Lüdeker

2019

Struct Multidisc Optim

View full text Add to dashboard Cite

A robust topology optimization approach is presented which uses the probabilistic first-order second-moment method for the estimation of mean value and variance of the compliance. The considered sources of uncertainty are the applied load, the spatially varying Young's modulus and the geometry with focus on the latter two. In difference to similar existing approaches for robust topology optimization, the presented approach requires only one solution of an adjoint system to determine the derivatives of the variance, which keeps the computation time close to the deterministic optimization. For validation, also the second-order fourth-moment method and Monte Carlo simulations are embedded into the optimization. For all approaches, the applicability and impact on the resulting design are demonstrated by application to benchmark examples. For random load, the firstorder second-moment approach provides unsatisfying results. For random Young's modulus and geometry however, the robust topology optimization using first-order second-moment approach provides robust designs at very little computational cost.

show abstract

Section: Introductionmentioning

confidence: 99%

Robust compliance topology optimization using the first-order second-moment method

Kriegesmann

Lüdeker

2019

Struct Multidisc Optim

View full text Add to dashboard Cite

show abstract

“…Unfortunately, the time point where the maximum dynamic response occurs, may vary considerably during the optimization process. And López et al (2018) also performed the RBTO model through the RBDO algorithm Sequential Optimization and Reliability Assessment (SORA) based on its robustness, accuracy, and decoupled nature. This allows to use an external optimization software when dealing with the topology optimization problem.…”

Section: Classification According To Rbto Formulationsmentioning

confidence: 99%

Two decades review of reliability-based topology optimization developments

Kharmanda¹,

Mulki²

2022

IncertFia

View full text Add to dashboard Cite

This review seeks to classify the different developments of the Reliability-Based Topology Optimization (RBTO) according to their formulations and methods. According to the RBTO formulations, two standpoints (topology and reliability standpoints) are generally treated, while according to methods, they are divided into loop and mixed methods. The different trends and gaps are discussed later. The selected publications over the last two decades (from December 2001 to December 2021) contain the term RBTO in their title and restricted to English language. There are several other publications, which have been written in other languages and some others containing the integration of the reliability analysis into topology optimization, but the RBTO was not included in their titles. These two types of publications are unfortunately not included in this review since it is the objective to provide the readers (especially the new researchers) a good guide (map) to the different RBTO developments and applications. Some additional publications considering other objective and constraint functions and dealing the RBTO with microstructural levels are also included since they were realized under the same period and containing the term of RBTO in their title. The first publication of the Reliability-Based Topology Optimization model was a technical report at Aalborg University in Denmark, published in December 2001. It was a new model where many critical discussions appeared between the topology optimization community and the reliability one during 2002 and 2003 (in several meetings and conferences). That led to delay the appearance of the first journal articles until 2004. According to the author's knowledge, more than 70 journal papers and more than 25 other publications (conference papers, chapters, reports... etc.) have been found during the last two decades. Almost 50% of journal papers have been published during the last four years which means that there is a strong interest to implement this model.

show abstract

“…In the A380 project of Airbus Industries, the topology optimization has been used as an efficient way to obtain newer and lighter component designs. Such as the design of A380 Droop Nose Ribs, over 1000 kg per aircraft has been reduced in total for the final designs [7]. In the design of the wing leading-edge structure of the Boeing 787, the topology optimization method was first used for the preliminary design.…”

Section: Introductionmentioning

confidence: 99%

Topological Designing and Analysis of the Composite Wing Rib

Vambol

2020

aktt

View full text Add to dashboard Cite

The composite structures in the aerospace industry for in recent decades are widely applied however, at the beginning of the 21st century composites are growing rapidly. The largest companies in the aerospace industry are increasing the volume of composites application of in the structures, and nowadays the volume of composites reaches 50%. The different elements of aircraft and even highly loaded structures such as spars, ribs, skin, etc., are currently made from composites. First of all, this is due to the possibility of a significant reduction in the weight of the structure, as well as a decreasing in production costs. The advanced technologies in the engineering software allows to solute different complex problems. One of the main direct of research in the composites is optimization of composite structure due to improving the relative strength and relative stiffness of the composite structure, and improving the efficiency of manufacturing processes. There are a lot of methods of optimizations but currently the topological optimization is the most conceptual and forward-looking method. The main goal of the article is to analyze and estimate the approach for designing wing rib with symmetric laminated plates with the different fiber orientation based on the topology optimization. The following tasks were solved for this: firstly, a topological optimization model was determined. This model was based on maximum stiffness with a specified volume constraint is established. The next step was optimization by the solid isotropic material with penalization (SIMP) model and sensitivity filtering technique; as a result of optimization the topological structures of wing rib with different fibre orientations were obtained. The topological structure and stiffness of the wing rib depend on the fibre orientation. Finally, the corresponding morphing analysis of wing rib with laminated plates is implemented by adopting ANSYS, which verified the anti-deforming capability of topology structure and illustrated the feasibility for designing the wing rib. The result shows that the maximum deformation of optimized structure is 1.57mm, whereas the maximum deformation of the un-optimized structure is 2.02 mm. Under the condition of the same material removals, the optimized structure can decrease by more than 20% deformations.

show abstract

The relevance of reliability-based topology optimization in early design stages of aircraft structures

Cited by 19 publications

References 35 publications

Robust compliance topology optimization using the first-order second-moment method

Robust compliance topology optimization using the first-order second-moment method

Two decades review of reliability-based topology optimization developments

Topological Designing and Analysis of the Composite Wing Rib

Contact Info

Product

Resources

About